# How do you simplify r times the square root of r − 3 times r times the square root of r + 4 times r times the square root of r?

May 21, 2018

${r}^{3} \sqrt{r \left(r - 3\right) \left(r + 4\right)}$

#### Explanation:

"r times the square root of r-3" is:
$r \times \sqrt{r - 3}$

"times r times the square root of r+4" is:
$\times r \times \sqrt{r + 4}$

"times r times the square root of r" is:
$\times r \times \sqrt{r}$

Putting it together:
$r \times \sqrt{r - 3} \times r \times \sqrt{r + 4} \times r \times \sqrt{r}$

= ${r}^{3} \sqrt{r \left(r - 3\right) \left(r + 4\right)}$